Its the same between a Engine and a Pumper where I live. When I was on the fire department back home on the west coast we used to call our Engines, just that a Engine... But out East here they call them Pumpers for some reason.
Mind you Greater City of Sudbury Department also sends a Rescue, Pumper, code 3 to an accident and then the Areial truck follows routine. I know Vancouver BC used to run with a Engine code three and a Rescue, which they call medics now, routine unless there is confirmed entrapment then both run code 3.
That's the one thing I find festinating and yet a bit frustrating with the service. Same thing with EMS... British Columbia Ambulance Service calls their units Cars back from the old days when they used to be actual cars, and then you look at NYFD they call them Buses... it is soooo strange.
But again look at Greater City of Sudbury... They no longer have a Fire Chief, it is now intergrated with the EMS and the position is called Emergency Service Director or something stupid like that.